Part B: One student will be selected at random from the class. Consider events X and Y shown.X: the selected student is femaleY: the selected student is right-handedWhich of the following statements about events X and Y is TRUE?O A. The events are not independent because the probability of X is not equal to the probability of X given Y.B. The events are independent because the number of right-handed students in the class is larger than the number of femalestudents.C. The events are independent because the number of categories for dominant hand is different from the number of categories forgender.D. The events are not independent because for one of the dominant hand categories the number of female students is 0. Use the information to answer the following questions.The two-way table shows the classification of students in a mathematics class by gender and dominant hand. A student whois ambidextrous uses both hands equally well.Right-handedLeft-handedAmbidextrousTotalMale11416Female1214Total2330

For X and Y to be independent Since Hence, X and Y are not independent

The two-way table shows the classification of students in a mathematics class by gender and dominant hand. A student who is ambidextrous uses both hands equally well. Right-handed Left-handed Ambidextrous Total Male 11 4 1 16 Female 12 14 Total 23 6 1 30

The two-way table shows the classification of students in a mathematics class by gender and dominant hand. A student who is ambidextrous uses both hands equally well. Right-handed Left-handed Ambidextrous Total Male 11 4 1 16 Female 12 14 Total 23 6 1 30

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese, 12% to be cranes, 10% to be swans, and 5% to be herons. What are the expected and observed counts? Select one. Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D %3D Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons
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